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Energy and Heat Fluctuations in a Temperature Quench

2014/09/09 by M. Zannetti, Marco Zannetti, Federico Corberi +5 · 14 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensation #Condensed matter physics #Equipartition theorem #Heat transfer #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Statistical physics #Theoretical and Computational Physics #Thermal reservoir #Thermodynamics #Transient (computer programming) #cond-mat.stat-mech

paper · pdf · doi:10.1088/0253-6102/62/4/13

published in Communications in Theoretical Physics 62(4), 555-570 (Institute of Physics) · To be published in the Proceedings of the Research Program "Small system non equilibrium fluctuations, dynamics and stochastics, and anomalous behavior", Kavli Institute for Theoretical Physics China, July 2013. 40 pages, 9 figures

arxiv created 2014/09/09 · openalex publication_date 2014/10/01 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Fluctuations of energy and heat are investigated during the relaxation following the instantaneous temperature quench of an extended system. Results are obtained analytically for the Gaussian model and for the large N model quenched below the critical temperature T c . The main finding is that fluctuations exceeding a critical threshold do condense. Though driven by a mechanism similar to that of Bose—Einstein condensation, this phenomenon is an out-of-equilibrium feature produced by the breaking of energy equipartition occurring in the transient regime. The dynamical nature of the transition is illustrated by phase diagrams extending in the time direction.

Citations